Time-vs. frequency-domain inverse elastic scattering: Theory and experiment

Xiaoli Liu (1) , J Song (2) , Fatmeh Pourahmadian (2) , Houssem Haddar (3)

1 Peking University [Beijing]
2 University of Colorado [Boulder]
3 IDEFIX - Inversion of Differential Equations For Imaging and physiX

This study formally adapts the time-domain linear sampling method (TLSM) for ultrasonic imaging of stationary and evolving fractures in safety-critical components. The TLSM indicator is then applied to the laboratory test data of [22, 18] and the obtained reconstructions are compared to their frequency-domain counterparts. The results highlight the unique capability of the time-domain imaging functional for high-fidelity tracking of evolving damage, and its relative robustness to sparse and reduced-aperture data at moderate noise levels. A comparative analysis of the TLSM images against the multifrequency LSM maps of [22] further reveals that thanks to the full-waveform inversion in time and space, the TLSM generates images of remarkably higher quality with the same dataset.

Domaines: Analyse numérique [cs.NA]

Xiaoli Liu, J Song, Fatmeh Pourahmadian, Houssem Haddar. Time-vs. frequency-domain inverse elastic scattering: Theory and experiment. SIAM Journal on Applied Mathematics, 2023, 83 (3), ⟨10.1137/22M1522437⟩. ⟨hal-03876860v2⟩